Answer:
x² - 3x - 10 = (x - 5) (x + 2)
x² - 3x - 18 = (x + 3) (x - 6)
Step-by-step explanation:
<u>x² - 3x - 10</u>
x² + 2x - 5x - 10
x(x + 2) - 5(x + 2)
(x - 5) (x + 2)
<u>x² - 3x - 18</u>
x² - 6x + 3x - 18
x(x - 6) + 3(x - 6)
(x + 3) (x - 6)
<u>-TheUnknown</u><u>S</u><u>cientist</u>
 
        
             
        
        
        
The first step of factoring is to try to factor out a common factor.
The terms x^2 and -9x have the factor x in common.
Factor out x from both terms.
x^2 - 9x = 0
x(x - 9) = 0
Now you have a product of fully factored terms equaling zero, so you can apply the zero product property to solve.
x = 0   or   x - 9 = 0
x = 0   or   x = 9
Answer: x = 0 or x = 9
        
             
        
        
        
In order to solve for the area of the triangle with the
given dimensions, we use the equation
<span>                        A
= ac(cos b)/2</span>
Substituting the known values,
<span>                        
A = (11 cm)(18 cm)(cos 104o)/2 = 23.95 cm2</span>
 
<span>Thus, the answer is the third choice. </span>
 
        
                    
             
        
        
        
Solution :
To claim to be tested is whether "the mean salary is higher than 48,734".
i.e. μ > 48,734
Therefore the null and the alternative hypothesis are 

and 
Here, n = 50

s = 3600
We take , α = 0.05
The test statistics t is given by 


t = 2.15
Now the ">" sign in the  sign indicates that the right tailed test
 sign indicates that the right tailed test 
Now degree of freedom, df = n - 1 
                                               = 50 - 1 
                                               = 49
Therefore, the p value = 0.02
The observed p value is less than α = 0.05, therefore we reject  . Hence the mean salary that the accounting graduates are offered from the university is more than the average salary of 48,734 dollar.
. Hence the mean salary that the accounting graduates are offered from the university is more than the average salary of 48,734 dollar.